01622oam 2200457 450 991071516500332120210520110638.042-317(CKB)5470000002508363(OCoLC)1226765968(OCoLC)1231541274(OCoLC)995470000002508363(EXLCZ)99547000000250836320201215d2020 ua 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierThe future of identity in financial services threats, challenges, and opportunities : hearing before the Task Force on Artificial Intelligence of the Committee on Financial Services, U.S. House of Representatives, One Hundred Sixteenth Congress, first session, September 12, 2019Washington :U.S. Government Publishing Office,2020.1 online resource (v, 159 pages) illustrationsAccess ID (govinfo): CHRG-116hhrg42317."Serial no. 116-49."Includes bibliographical references.Future of identity in financial services Artificial intelligenceIdentity theftCommercial crimesLegislative hearings.lcgftArtificial intelligence.Identity theft.Commercial crimes.GPOGPOOCLCOOCLCFGPOBOOK9910715165003321The future of identity in financial services3519016UNINA03994nam 22007574a 450 991096451740332120200520144314.09786612129742978128212974012821297409781400827787140082778710.1515/9781400827787(CKB)1000000000756263(EBL)445446(OCoLC)330822909(SSID)ssj0000224738(PQKBManifestationID)11910947(PQKBTitleCode)TC0000224738(PQKBWorkID)10210617(PQKB)10076542(DE-B1597)446708(OCoLC)979745018(OCoLC)990529004(DE-B1597)9781400827787(Au-PeEL)EBL445446(CaPaEBR)ebr10284074(CaONFJC)MIL212974(PPN)153447087(FR-PaCSA)45004299(MiAaPQ)EBC445446(Perlego)734488(FRCYB45004299)45004299(EXLCZ)99100000000075626320060714d2007 uy 0engur|n|---|||||txtccrPositive definite matrices /Rajendra BhatiaCourse BookPrinceton, N.J. Princeton University Pressc20071 online resource (265 p.)Princeton series in applied mathematicsDescription based upon print version of record.9780691168258 0691168253 9780691129181 0691129185 Includes bibliographical references (p. [237]-245) and index. Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- NotationThis book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices. Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry--all built around the central theme of positive definite matrices. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. He examines matrix means and their applications, and shows how to use positive definite functions to derive operator inequalities that he and others proved in recent years. He guides the reader through the differential geometry of the manifold of positive definite matrices, and explains recent work on the geometric mean of several matrices. Positive Definite Matrices is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses.Princeton series in applied mathematics.MatricesMatrices.512.9/434SK 220rvkBhatia Rajendra1952-59869MiAaPQMiAaPQMiAaPQBOOK9910964517403321Positive definite matrices1226929UNINA